Interpret the equation a (x+3) + (1)/(a x) = 2 _a2

April 21, 2026Mathematics

ScanSolve AI Answer

April 21, 2026

Answer

2 \log_a^2$$

Step 1: Interpret the equation. The given equation is: $\log_a (x+3) + \frac{1}{\log_a x} = 2 \log_a^2$ First, let's clarify the right-hand side (RHS). The notation $2 \log_a^2$ is ambiguous. Based on common mathematical conventions and the appearance in the image, it is most likely interpreted as $2 \log_a 2$ . Using the logarithm power rule, $n \log b = \log b^n$ : $2 \log_a 2 = \log_a 2^2 = \log_a 4$ So the equation becomes:

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Interpret the equation. The given equation is: _a (x+3) + (1)/(_a x) = 2 _a^2 First, let's clarify the right-hand side (RHS).

Asked on April 21, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 21, 2026

Step 1: Interpret the equation. The given equation is: _a (x+3) + (1)/(_a x) = 2 _a^2 First, let's clarify the right-hand side (RHS). The notation 2 _a^2 is ambiguous. Based on common mathematical conventions and the appearance in the image, it is most likely interpreted as 2 _a 2. Using the logarithm power rule, n b = b^n: 2 _a 2 = _a 2^2 = _a 4 So the equation becomes: _a (x+3)